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Alenkasestr [34]
2 years ago
11

Manuela makes $21 in commissions over the first three hours that she worked selling magazines. How many dollars must she make du

ring the fourth hour to average $8 an hour for the full four hours
Mathematics
2 answers:
eduard2 years ago
8 0

$11

8 x 4 = $32 total for 4 hours

$32 - $21 = $11
atroni [7]2 years ago
7 0

Answer: Manuela must make $11 dollars during the fourth hour

Step-by-step explanation:

In order to calculate the amount of dollars for the fourth hour, you have to calculate the amount of dollars she needs to make in the full four hours:

The average is the amount of dollars earned in 4 hours between the 4 hours. Let <em>A </em>be the average and <em>d </em>be the amount of dollars

<em>A</em>= <em>d</em>/4

A= $8. Replacing A in the expression:

8=d/4

Multiplying by 4 each side:

d=32

Now, if she must make $32 in four hours to average $8 but she already earned $21 in three hours then in the last hour she must make:

$32 - $21 = $11

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algol [13]

The mean of the discrete probability distribution is of 1.28.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Then, considering the given distribution, the mean is given by:

E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.

More can be learned about the mean of a discrete probability distribution at brainly.com/question/24855677

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2 years ago
What is the measure of arc EF in circle H?<br> O 41°<br> O 50°<br> O 114<br> O 1730
timurjin [86]

Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

Arc DE = 73°

\angle FED=123\°

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°

Now, we know that sum of all arcs on a circle is equal to 360°.

Therefore, arc DGF + arc DE + arc EF = 360°

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3 years ago
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Answer:

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6.) 6.15 km.

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3 years ago
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neonofarm [45]

Answer:

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2. Simplify.

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3. Subtract 20 from both sides.

20-x-29=15-20

4. Simplify.

-x=-5

5. Divide both sides by -1.

-x/-1 = -5/-1

6. Simplify.

x=5

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